The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Colored Tensor Models - a Review
Open accessAbstract
Colored tensor models have recently burst onto the scene as a promising conceptual and computational tool in the investigation of problems of random geometry in dimension three and higher.We present a snapshot of the cutting edge in this rapidly expanding research field.Colored tensor models have been shown to share many of the properties of their direct ancestor, matrix models, which encode a theory of fluctuating twodimensional surfaces.These features include the possession of Feynman graphs encoding topological spaces, a 1/N expansion of graph amplitudes, embedded matrix models inside the tensor structure, a resumable leading order with critical behavior and a continuum large volume limit, Schwinger-Dyson equations satisfying a Lie algebra (akin to the Virasoro algebra in two dimensions), non-trivial classical solutions and so on.In this review, we give a detailed introduction of colored tensor models and pointers to current and future research directions.
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The nonperturbative functional renormalization group and its applications
Dupuis, N., Canet, L., Eichhorn, A., Metzner, W., Pawlowski, J. M., Tissier, M., & Wschebor, N. (2021) · Physics Reports · doi:10.1016/j.physrep.2021.01.001 · Cited by 660
Uncolored random tensors, melon diagrams, and the Sachdev-Ye-Kitaev models
Klebanov, I. R., & Tarnopolsky, G. (2017) · Physical Review D · doi:10.1103/physrevd.95.046004 · Cited by 336
Cosmology from Group Field Theory Formalism for Quantum Gravity
Gielen, S., Oriti, D., & Sindoni, L. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.031301 · Cited by 176
Group field theory as the second quantization of loop quantum gravity
Oriti, D. (2016) · Classical and Quantum Gravity · doi:10.1088/0264-9381/33/8/085005 · Cited by 144
The universe as a quantum gravity condensate
Oriti, D. (2017) · Comptes Rendus Physique · doi:10.1016/j.crhy.2017.02.003 · Cited by 103
Metadata
- Authors
- Gurau, R.
- Venue
- Symmetry, Integrability and Geometry: Methods and Applications
- Published
- 2012-04-10
- ISSN
- 1815-0659 (ISSN-L)
- OpenAlex
- W2116642797
- Cited by
- 327
- References
- 13
- FWCI
- 30.86
- Type
- journal article
- Language
- en
- Open access
- diamond
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